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The Stability and Complexity Analysis of a Low-Carbon Supply Chain Considering Fairness Concern Behavior and Sales Service

Author

Listed:
  • Qiuxiang Li

    (Institute of Management Science and Engineering, Henan University, Kaifeng 475004, China)

  • Xingli Chen

    (School of Business, Henan University, Kaifeng 475004, China)

  • Yimin Huang

    (School of Management & Economics, North China University of Water Resources and Electric Power, Zhengzhou 450046, China)

Abstract

This paper studies a low-carbon dual-channel supply chain in which a manufacturer sells products through the direct channel and traditional channel, and a retailer sells products through the traditional channel. The manufacturer considers carbon emission reduction and has fairness concern behavior. The retailer provides sales service in the traditional channel and considers fairness concern behavior. The objective of this paper is to analyze the effects of different parameter values on the price stability and utility of the supply chain system emphatically using 2D bifurcation diagram, parameter plot basin, the basins of attraction, chaos attractor and sensitivity to the initial value, etc. The results find that the retailer’s fairness concern behavior shrinks the stability of the supply chain system more than that of the manufacturer’s fairness concern behavior. The system stability region decreases with the increase of carbon emission reduction level and the retailer’s fairness concern. The customers’ preference for the direct channel decreases the stable range of the direct channel, while it enlarges the stable range of the traditional channel. The supply chain system enters into chaos through flip bifurcation with the increase of price adjustment speed. In a stable state, the manufacture improving customer’s preference for the direct channel and the retailer choosing the appropriate fairness concern level can achieve the maximum utility separately. In a chaotic state, the average utilities of the manufacturer and retailer all decline, while that of the retailer declines even more. By selecting appropriate control parameter, the low-carbon dual-channel supply chain system can return to a stable state from chaos again. The research of this paper is of great significance to price decisions of participants and supply chain operation management.

Suggested Citation

  • Qiuxiang Li & Xingli Chen & Yimin Huang, 2019. "The Stability and Complexity Analysis of a Low-Carbon Supply Chain Considering Fairness Concern Behavior and Sales Service," IJERPH, MDPI, vol. 16(15), pages 1-21, July.
    • Handle: RePEc:gam:jijerp:v:16:y:2019:i:15:p:2711-:d:252835
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    References listed on IDEAS

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    2. Longfei He & Baiyun Yuan & Junsong Bian & Kin Keung Lai, 2023. "Differential game theoretic analysis of the dynamic emission abatement in low-carbon supply chains," Annals of Operations Research, Springer, vol. 324(1), pages 355-393, May.
    3. Hong Zeng & Dongqin Jiang & Yimeng Li, 2022. "Cooperative and Non-Cooperative Green Advertising in the Low-Carbon Supply Chain under Monopoly or Competitive Market," Sustainability, MDPI, vol. 14(15), pages 1-22, July.
    4. Hao Zou & Jin Qin & Bo Dai, 2021. "Optimal Pricing Decisions for a Low-Carbon Supply Chain Considering Fairness Concern under Carbon Quota Policy," IJERPH, MDPI, vol. 18(2), pages 1-21, January.

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